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What is the least number which, when divided by 52, leaves [#permalink]
20 Sep 2003, 12:27

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Difficulty:

5% (low)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

What is the least number which, when divided by 52, leaves the
remainder 33, and when divided by 78, leaves 59, and when divided by
117 leaves 98 as the respective remainders?

What can be said about a clock when the two hands of the clock
coincide every 65 minutes?

(A) It gains time
(B) It loses time
(C) Shows the correct time
(D) Data insufficient
(E) Loses and gains time alternatively

In 65 minutes the minute hand should move a 1+(1/12) rounds, this is five "places" from its original. The hour hand should moves five "places" and a little bit more every 65 minutes. So, if they coincide every 65 minutes the minute hand is moving faster than it should, so, it is gaining time.